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For simplicity lets assume the first three bytes are. 102 075 & 179

Now I am making few assumptions for a practical implementation of the technique.

PAT() = Units place of sum of all digits. (no claims made,just for an example)

Now I can replace the three bytes with the following values 033 and 036

I have also specially stated the challenges of retrieving this information as as of not there are no built in integrity checks.

Probably, but it also corrupts your data and won't be able to uncompress it.

Yes. That is the only claim I have made. You can replace the first three bytes with two bytes using this method.

I've come up with a better compression scheme than yours. My scheme is exactly the same as yours, but you replace the first three bytes with one byte instead of two. Doesn't matter what byte you replace them with, because - just like your scheme - you can't get the original data back by decompressing it anyway.

you can get the data back. do read the article and paper published.